1312212120000 has 560 divisors, whose sum is σ = 4441800168960. Its totient is φ = 341692416000.

The previous prime is 1312212119971. The next prime is 1312212120001. The reversal of 1312212120000 is 212122131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312212120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 919559287 + ... + 919560713.

It is an arithmetic number, because the mean of its divisors is an integer number (7931786016).

Almost surely, 2^{1312212120000} is an apocalyptic number.

1312212120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220900084480).

1312212120000 is an abundant number, since it is smaller than the sum of its proper divisors (3129588048960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312212120000 is an equidigital number, since it uses as much as digits as its factorization.

1312212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1312212120000 its reverse (212122131), we get a palindrome (1312424242131).

The spelling of 1312212120000 in words is "one trillion, three hundred twelve billion, two hundred twelve million, one hundred twenty thousand".